login
A193632
Triangle: T(n,k)=C(4n-1,2k), 0<=k<=n.
3
1, 1, 3, 1, 21, 35, 1, 55, 330, 462, 1, 105, 1365, 5005, 6435, 1, 171, 3876, 27132, 75582, 92378, 1, 253, 8855, 100947, 490314, 1144066, 1352078, 1, 351, 17550, 296010, 2220075, 8436285, 17383860, 20058300, 1, 465, 31465, 736281, 7888725
OFFSET
0,3
FORMULA
T(n,k)=C(4n-1,2k), 0<=k<=n.
EXAMPLE
First 5 rows of A193632:
1
1....3
1....24....44
1....79....878....1434
1....184...6588...50947...77965
MATHEMATICA
p[n_, k_] := Binomial[4 n - 1, 2 k];
Table[p[n, k], {n, 0, 8}, {k, 0, n}] (* A193632 *)
Flatten[%]
CROSSREFS
Cf. A193633.
Sequence in context: A113090 A223549 A138354 * A346412 A346214 A190962
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 01 2011
STATUS
approved